Log in Geometry: Chapter III : Triangle Congruence
LP page 86 (Triangle Congruence)
Math 3 Budget per Grading Period:
Department of Education (DepEd) Region VII, Central Visayas Division of Cebu, Cebu City Budgeted Skills / Competencies in Geometry (By Grading Period)
UNITS SKILLS
IA. Geometry of Shape and Size
1.1 - 1.2 1 2.1 - 2.4 3.1 3.2 3.3 3.4 - 3.5 3.6 4.1 - 4.2 5.1 5.2.1 - 5.2.2 5.2.3 5.2.4 5.2.5 5.3
Enrichment
IIB. Geometric Relations
1.1 1.2 1.3 1.4
END OF THE 1st GRADING
1.5 1.6 - 1.7 2.1.1 2.1.2 2.1.3 3.1 1 3.2 3.3 3.4
IIIC. Triangle Congruence
1.1 1.2 1.3 1.4.1 1.4.2 1.4.3 1.4.4 2.1.1 2.1.2 2.1.3 2.1.4 2.2 2.3
IV D. Properties of Quadrilaterals 1.1 1.2.1 1.2.2
END OF THE 2nd GRADING
1.3.1 - 1.3.4 1.3.5 2.1 - 2.2 2.3
Enrichment
V E. Similarity 1.1 - 1.5 2.1.1 2.1.2 3.1 - 3.4 3.5 3.6 4.1 2 4.2 Enrichment 6.1
VI F. Circles
1.1 2.1 - 2.3 2.4 - 2.5
END OF THE 3rd GRADING
3.1 4.1
Enrichment
Geometric Constructions
VII G. Plane Coordinate Geometry
1.1 - 1.2 1.3 1.4 - 1.6 1.7 1.8 2.1 2.2 2.3 2.4 3.1 - 3.3 3.4
Enrichment
END OF THE 4th GRADING
TOTAL NUMBER OF SESSIONS 167
Math 4 Budget per Grading Period:
FIRST GRADING
A.) FUNCTIONS
1. Recall the Cartesian Coordinate Plane; Describe points in a Cartesian Coordinate Plane
2. Define a Function and demonstrate understanding of the definition
3. Given some real life relationships, identify those which are functions.
4. Determine whether a given set of ordered pairs is a function or a mere relation
5. Draw the graph of a given set of ordered pairs; determine whether the graph represents a functions or a mere relation
6. Use the vertical line test to determine whether a given graph represents a function or a mere relation
7. Illustrate the meaning of the functional notation f(x); determine the value of f(x) given a value for x.
8. Determine whether a given equation in two variables represents a function or a mere relation.
B.) LINEAR FUNCTIONS
1. Define the linear function f(x)=mx + b; given a linear function AX + BY = C; rewrite in the form f(x)=mx + b and vice versa.
2. Draw the graph of a linear function given the following
2.1 Any two points
2.2 Slope and one point
2.3 Slope and the y-intercept
2.4 X 7 intercepts
3. Given f(x)=mx+b, determine the following:
3.1 x & y intercepts
3.2 slope
3.3 some points
3.4 trend: increasing or decreasing
4. Determine f(x)mx+b given:
4.1 x & y intercepts
4.2 any two points
4.3 slope and one point
4.4 slope and y-intercept
5. Apply knowledge and skills related to linear functions in solving problems
C. Quadratic Functions
1. Define a quadratic function f(x)=ax2 + bx + c; identify quadratic functions
2. Rewrite a quadratic function ax2 + bx + c in the form f(x)=a(x-h)2 +k and vice versa
3. Given a quadratic functions, determine the following
3.1 Highest or lowest point (vertex)
3.2 The axis of symmetry
3.3 Direction of opening of the graph
4. Draw the graph of a quadratic functions using the vertex, axis of symmetry and assignment of points.
5. Analyze the effects on the graph of changes in a, h and k in f(x)=a(x-h)2 +k
6. Determine the “Zeros of a Quadratic Functions” by relating this to “roots of a quadratic equation”; review finding the roots of a quadratic equation using the following algebraic procedures:
6.1 Factoring
6.2 Quadratic formula
6.3 Completing the squares. Review the derivation of the quadratic formula.
7. Derive a quadratic function given the zeros of the function or given a set of points from the graph of a given function.
8. Apply knowledge and skills related to quadratic functions and equations in problem solving.
9. Use the graph of a quadratic function to solve a quadratic inequality.